2059198202880 has 2376 divisors, whose sum is σ = 9362596455576. Its totient is φ = 414693457920.

The previous prime is 2059198202777. The next prime is 2059198202899. The reversal of 2059198202880 is 882028919502.

It is a happy number.

2059198202880 is a `hidden beast` number, since 2 + 0 + 591 + 9 + 8 + 20 + 28 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52510639104 + 2006687563776 = 229152^2 + 1416576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28208194524 + ... + 28208194596.

Almost surely, 2^{2059198202880} is an apocalyptic number.

2059198202880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059198202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681298227788).

2059198202880 is an abundant number, since it is smaller than the sum of its proper divisors (7303398252696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2059198202880 is a wasteful number, since it uses less digits than its factorization.

2059198202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 2059198202880 in words is "two trillion, fifty-nine billion, one hundred ninety-eight million, two hundred two thousand, eight hundred eighty".